الفهرس 
IntroductionOnly 14 pages are availabe for public view
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Abstract
By employing the reductive perturbation method, the basic equations of a homogenous an unmagntized collistionless plasma consists of a cold electron fluid and isothermal ions with two different temperature is reduced to the nonlinear partial differential KP equation. Different types of KP equations can be obtained according to different models of plasma systems. Instead of the normal KP equation, we here suggested the generalized KP equation in which the nonlinear term k (u) is treated as an arbitrary function rather than a given function of u. By means of the approach of Lie point symmetry, the symmetries of the generalized KP equation are obtained for different types of k (u). Moreover the similarity solutions and similarity reductions are obtained and classified in terms of the Lie group parameters.
Finally, in the frame work of the bifurcation and phase portrait, the topology of the potential diagram and phase plane of generalized KP equation are investigated and hence many types of solutions are predicted. In order to obtain the predicted solutions explicitly of generalized KP equation, the method of Exp-function is considered. Using this approach, different types of solutions are obtained and classified. Some of these solutions are related to solitary wave solution and the others are related to the periodic solution, the shock wave solution, the breakdown solution and the singular solution respectively. In the view of obtained results, many applications in the fields of plasma physics are considered and investigated successfully.